35 citations · 53 across the 14 of their papers we have counts for
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The Influence of Einstein's Effective Viscosity on Sedimentation at Very Small Particle Volume Fraction
Richard M. Höfer, Richard Schubert
We investigate the sedimentation of identical inertialess spherical particles in a Stokes fluid in the limit of many small particles. It is known that the presence of the particles…
Darcy's law as low Mach and homogenization limit of a compressible fluid in perforated domains
Richard M. Höfer, Karina Kowalczyk, Sebastian Schwarzacher
We consider the homogenization limit of the compressible barotropic Navier-Stokes equations in a three-dimensional domain perforated by periodically distributed identical particles…
Convergence rates and fluctuations for the Stokes-Brinkman equations as homogenization limit in perforated domains
Richard M. Höfer, Jonas Jansen
We study the homogenization of the Dirichlet problem for the Stokes equations in perforated by spherical particles. We assume the positions and velocities of the…
Convergence of the pressure in the homogenization of the Stokes equations in randomly perforated domains
Arianna Giunti, Richard M. Höfer
We consider the homogenization to the Brinkman equations for the incompressible Stokes equations in a bounded domain which is perforated by a random collection of small spherical h…
Mild assumptions for the derivation of Einstein's effective viscosity formula
David Gérard-Varet, Richard M. Höfer
We provide a rigorous derivation of Einstein's formula for the effective viscosity of dilute suspensions of rigid balls, , set in a volume of size . So far, most ju…